At a certain temperature, the solubility of $N_2$ gas in water at $\frac{3\mathrm{.}12}{b}ar$ is $72\mathrm{.}5mg$ of $N_2$ gas per $100g$ of water $.$ Calculate the solubility of $N_2$ gas in water, at the same temperature, if the partial pressure of $N_2$ gas over the solution is increased from $3\mathrm{.}12$ bar to $\frac{8\mathrm{.}00}{b}ar.$

Express your answer numerically to three significant figures.